Least Common Multiple of 861/12, 550/98, 423/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 861/12, 550/98, 423/374 quickly i.e. 33385275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/12, 550/98, 423/374 is 33385275.

LCM(861/12, 550/98, 423/374) = 33385275

LCM of 861/12, 550/98, 423/374

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 861/12,550/98,423/374

Given numbers are 861/12,550/98,423/374

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 861,550,423

Least Common Multiple of Numerators i.e. LCM of 861,550,423 is 66770550.

GCF of Denominators means GCF of 12,98,374 as per the given fractions.

GCF of 12,98,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,550,423

LCM of Fractions 861/12,550/98,423/374 is 33385275

3 861, 550, 423
287, 550, 141

∴ So the LCM of the given numbers is 3 x 287 x 550 x 141 = 66770550

Least Common Multiple of 861,550,423 with GCF Formula

Least Common Multiple of 861,550,423 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 861,550,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,550,423) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(861,550,423) x common factors =1 x 3 = 3

LCM(861,550,423) = ( 861 × 550 × 423 ) / 3

LCM(861,550,423) = 200311650 / 3

LCM(861,550,423) = 66770550


Lets's calculate GCF of 12,98,374

2 12, 98, 374
6, 49, 187

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66770550/2

Therefore the LCM of Fractions 861/12,550/98,423/374 is 33385275

Greatest Common Factor of 12,98,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,98,374 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 12,98,374 . The biggest common factor number is the GCF number.
So the greatest common factor 12,98,374 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 861/12, 550/98, 423/374

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 861/12, 550/98, 423/374?

Answer: LCM of Numerators as per given numbers 861/12, 550/98, 423/374 is

LCM of Numerators i.e. for 861,550,423 is 66770550

GCF of denominators i.e. for 12,98,374 is 2.

Thus, LCM of Fractions is 33385275.Finally, LCM of Fractions for 861/12, 550/98, 423/374 is 33385275.